某步行街摆放有若干盆甲、乙、丙三种造型的盆景。甲种盆景由15朵红花、24朵黄花和25朵紫花搭配而成,乙种盆景由10朵红花和12朵黄花搭配而成,丙种盆景由1...

作者: tihaiku 人气: - 评论: 0
问题 某步行街摆放有若干盆甲、乙、丙三种造型的盆景。甲种盆景由15朵红花、24朵黄花和25朵紫花搭配而成,乙种盆景由10朵红花和12朵黄花搭配而成,丙种盆景由10朵红花、18朵黄花和25朵紫花搭配而成。这些盆景一共用了2900朵红花,3750朵紫花,则黄花一共用了多少朵?
选项 A.4320 B.4380 C.4440 D.4500
答案 B
解析 解析:设甲、乙、丙三种造型的盆景分别为a盆、b盆、c盆,由题意可得, 红花:15a+10b+10c=2900① 紫花:25a+25c=3750② 由①得,3a+2b+2c=580③ 由②得,a+c=150④ 所求黄花数为24a+126+18c=6(4a+2b+3c) ③+④得到,4a+2b+3c=730,则所求黄花数为6730=4380,应选择B。

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